If f(x)= | array ccc 2 x & 2 x & 2 x - x & x & - x x & x & x array | , then
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
\[\text { If } f(x)=\left|\begin{array}{ccc}
\cos 2 x & \cos 2 x & \sin 2 x \\
-\cos x & \cos x & -\sin x \\
\sin x & \sin x & \cos x
\end{array}\right| \text {, then }\]
- f′(x) = 0 at exactly three points in (–p, p)
- f(x) attains its minimum at x = 0
- f(x) attains its maximum at x = 0
- f′(x) = 0 at more than three points in (–p, p)
Answer
(D) f ′ ( x ) = 0 at more than three points in (– p , p )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If A= [ array cc & 0 1 & 1 array ] and B= [ array ll 1 & 0 5 & 1 array ], then value of α for which A 2 = B …
- If P= [ array cc 3 2 & 1 2 - 1 2 & 3 2 array ], A= [ array ll 1 & 1 0 & 1 array ] and Q = PAP T , then P T (…
- If a > b > c and the system of equations ax + by + cz = 0, bx + cy + az = 0, cx + ay + bz = 0 has a non…
- Assertion : | array lll a ^ 2 + X ^ 2 & b - z & a + k b + I & b ^ 2 + X ^ 2 & b - x a - k & b + x & c ^ 2 + X…
- The no. of distinct real roots of | array ccc x & x & x x & x & x x & x & x array |=0 in the interval is
- If E(θ) = [ array cc ^ 2 & & ^ 2 array ] and θ and φ differ by an odd multiple of π/2, then E(θ). E(φ) is a
- Let A and B be two matrices different from I such that AB = BA and A n – B n is invertible for some positive…
- Let I= ( array ll 1 & 0 0 & 1 array ) and P= ( array ll 2 & 0 0 & 3 array ) . Let Q= ( array ll x & y z & 4…
More Matrices and Determinants questions · Browse all practice questions